M.8.4

8th Grade

Course Purpose:

Students will construct and solve multi-step linear equations to apply to real world contexts. Students will construct and solve systems of equations to apply to real world contexts. Students will construct and compare multiple representations of functions.

Outcomes and Components:

M.8.4	Students will analyze and graph proportional and nonproportional relationships and apply real world contexts.
Pacing Instruct/ Assess	Component Code	Component	Standard(s)
3	M.8.4.1	Interpret the unit rate of a proportional relationship as the slope of a graph.	8.EE.B.5
1	M.8.4.2	Explain why the slope, m, is the same between any two points on a nonvertical line in the coordinate plane using similar triangles.	8.EE.B.6
2	M.8.4.3	Calculate the rate of change using the slope formula and identify the y-intercept.	8.F.B.4
3	M.8.4.4	Graph a proportional and nonproportional relationship given an equation, table, and real world description.	8.EE.B.5
3	M.8.4.5	Compare the rate of change and initial value of two proportional or nonproportional relationships represented in two different ways such as with a graph, equation, table, or written description. For example, distance-time equation and distance-time graph.	8.EE.B.5
2	M.8.4.6	Derive the equation for a proportional relationship using a graph as, y=mx and derive the equation for a non proportional relationship using a graph, as y=mx+ b.	8.EE.B.6 8.F.A.3
3	M.8.4.7	Interpret the rate of change and initial value for a real world situation given a table, graph, or equation.	8.F.B.4

Academic Vocabulary: interpret, compare

Content Vocabulary: proportional relationship, non proportional relationship, slope intercept form, rate of change, initial value

Outcomes and Components

Math Curriculum Main
Kindergarten
- M.K.1
- M.K.2
- M.K.3
- M.K.4
- M.K.5
- M.K.6
- M.K.7
- M.K.8
1st Grade
- M.1.1
- M.1.2
- M.1.3
- M.1.4
- M.1.5
- M.1.6
- M.1.7
- M.1.8
- M.1.9
2nd Grade
- M.2.1
- M.2.2
- M.2.3
- M.2.4
- M.2.5
- M.2.6
- M.2.7
- M.2.8
- M.2.9
- M.2.10
3rd Grade
- M.3.1
- M.3.2
- M.3.3
- M.3.4
- M.3.5
- M.3.6
- M.3.7
- M.3.8
- M.3.9
- M.3.10
- M.3.11
- M.3.12
4th Grade
- M.4.1
- M.4.2
- M.4.3
- M.4.4
- M.4.5
- M.4.6
- M.4.7
- M.4.8
- M.4.9
- M.4.10
- M.4.11
- M.4.12
- M.4.13
- M.4.14
- M.4.15
5th Grade
- M.5.1
- M.5.2
- M.5.3
- M.5.4
- M.5.5
- M.5.6
- M.5.7
- M.5.8
- M.5.9
- M.5.10
- M.5.11
- M.5.12
- M.5.13
- M.5.14
6th Grade
- M.6.1
- M.6.2
- M.6.3
- M.6.4
- M.6.5
- M.6.6
- M.6.7
- M.6.8
- M.6.9
- M.6.10
- M.6.11
- M.6.12
- M.6.13
- M.6.14
7th Grade
- M.7.1
- M.7.2
- M.7.3
- M.7.4
- M.7.5
- M.7.6
- M.7.7
- M.7.8
- M.7.9
- M.7.10
- M.7.11
- M.7.12
- M.7.13
8th Grade
- M.8.1
- M.8.2
- M.8.3
- M.8.4
- M.8.5
- M.8.6
- M.8.7
- M.8.8
- M.8.9
- M.8.10
- M.8.11
- M.8.12
- M.8.13
- M.8.14

Math Curriculum

8th Grade